Johnny deposited $1230 in a savings account at 2.25 percent interest. How much interest will the account earn in 10 years?
$212.50
$291.25
$276.75
$202.25

Will got an insurance check of $4500 after a car accident. He deposited it into a savings
account at 1.7 percent interest for five years. What was the total amount of money in the
account after five years?
1. $4462.50 2. $4882.50 3. $4374.38 4. $4315.63

Answer:

C there is no mode

Step-by-step explanation:

The mode is the number that appears most often.  Since there is no number that appears more than once, there is no mode

If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.

The multiplier for increasing by 25% is:

(100 + 25) ÷ 100 = 1.25

So on day one, there are 64 responses. That means on day two, there will be:

---> 64 x 1.25 = 80 responses

On day 3, there will be:

---> 80 x 1.25 = 100 responses

Finally, on day 4, there will be:

---> 100 x 1.25 = 125 responses

A quicker way of getting this would be to do:

64 x 1.25³      since you are multiplying by 1.25  3 times

--------------------------------------------------

Answer:

125 responses

Answer:

125

Step-by-step explanation:

meh . . .

Answer:

Option D x=4

Step-by-step explanation:

we have

[tex]f(x)=\frac{1}{x-3}+1[/tex]

[tex]g(x)=2\sqrt{x-3}[/tex]

Solve the system by graphing

Remember that the solution of the system of equations (f(x)=g(x)) is the x-coordinate of the intersection point both graphs

The intersection point is (4,2)

therefore

x=4

see the attached figure

[tex]arc=\frac{\pi\theta}{360}(d)[/tex]

There is no any option, but the question is answerable. The length of an arc of a circumference is a fraction of that circumference. Recall that a circumference measures 360 degrees. Suppose you have an arc whose central angle [tex]\theta[/tex] degrees, then the arc of a circumference can be found as:

[tex]\boxed{arc=\frac{\pi\theta}{360}(d)} \\ \\ Where: \\ \\ \theta: \ central \ angle \\ \\ d: \ diameter \ of \ the \ circle[/tex]

So in this case, the expression:

[tex]\frac{\pi\theta}{360}[/tex]

represents the fraction we are talking about.

The equation that gives the length of an arc is s = θ * r, where s is the distance traveled along the circular path, θ is the angle of rotation, and r is the radius of curvature.

The equation that gives the length of an arc is given by:

Length of Arc (s) = θ * r

Where:

For example, if the angle of rotation is 45 degrees and the radius is 5 units, the length of the arc would be:

s = (45 degrees) * (5 units) = 225 degrees * units

https://brainly.com/question/32035879

#SPJ11

Answer:

3 * (4x - 8) = 60

x = 7

Step-by-step explanation:

First you have to find out what is being done first.

Three times the quantity eight less than 4 times a number is 60.

x = a number

3 *

- 8

4 * x

= 60

The first thing to do is 4 times a number.

4 * x = 4x

Then minus 8.

4x - 8

Then multiply by 3.

3 * (4x - 8) = 60

Now divide both sides by 3

4x - 8 = 20

Add 8 to both sides

4x = 28

Divide both sides by 4

x = 7

Answer:

7

Step-by-step explanation:

let number = x

"4 times a number" = 4x

"eight less than 4 times a number" = eight less than 4x = (4x - 8)

"Three times the quantity eight less than 4 times a number"

= 3 times (4x - 8) = 3(4x-8)

Given that the expression = 60

3(4x-8) = 60

(4x-8) = 20

4x  = 20 + 8

x = 28 / 4

x = 7

Answer:

Irrational because it is not a terminating or repeating decimal.

Step-by-step explanation:

Final answer:

The square root of 35 is an irrational number because it cannot be expressed as a fraction or a terminating/repeating decimal.

Explanation:

The best description for the real number square root of 35 is irrational, because it is not a terminating or repeating decimal. In general, an irrational number cannot be expressed as a quotient of two integers.

For example, let's approximate the square root of 35. We can use a calculator to find that the square root of 35 is approximately 5.91607978309961. This decimal representation goes on indefinitely without repeating or terminating, confirming that it is irrational.

Therefore, the square root of 35 is an irrational number because it cannot be expressed as a fraction or a terminating/repeating decimal.

Answer:

4/3

Step-by-step explanation:

The exponential form is (3x+4)^4=4096

Take the fourth of both sides:

3x+4=plus or mins 8

3x+4=8          or 3x+4=-8

So

3x=4            or    3x=-12

x=4/3          or     x=-4 (this sound won't work because 3x+4 becomes neg)

So only sol 4/3.

The solution to log3x-2 4096 = 4 is x = 4.493409.

The solution to log3x-2 4096 = 4 is x = 4.493409 after isolating the logarithmic term and converting the equation to exponential form.

To solve the equation log3(x-2) = 4096, we first isolate the logarithmic term by adding 2 to both sides, resulting in log3x = 4098. Next, we rewrite the equation in exponential form as 3^4098 = x, which simplifies to x = 4.493409. Therefore, the solution to the equation log3x-2 4096 = 4 is x = 4.493409.

Answer:

B.  

help reduce total interest charges

Step-by-step explanation:

Assuming there are no prepayment penalties, paying more than your monthly car payment can help reduce total interest charges

That picture doesn't have anything to do with the problem.

Snail went right, into positive numbers, frog went left, negative numbers.  Their distance is the absolute difference.

d = | 2 - 4(-3) | = | 14 | = 14

Answer: 14

Answer:

Rational numbers are decimals that can't be turned into fractions and irational numbers are decimal numbers that can be turned into Fraction.

Step-by-step explanation:

Example Pi 3.14 can be 22/7

Answer:

c. 6x -3y = 9

Step-by-step explanation:

The parallel line will have the x- and y-coefficients in the same ratio.

given line: 4 : -2 = -2 : 1

a: 3 : 6 = 1 : 2 . . . not it

b: 6 : 3 = 2 : 1 . . . not it

c: 6 : -3 = -2 : 1 . . . . the one you're looking for

d: 3 : -6 = -1 : 2 . . . not it

Answer:

6x-3y=9

Step-by-step explanation:

I used a graphing app

Answer:

Step-by-step explanation:

See below for a graph.

___

Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.

Answer:

just so you can give the other guy brainly

Step-by-step explanation:

Answer:

value of a = 6

value of b = 3

value of c = 64

value of d= 64

Step-by-step explanation:

1. Apply the quotient of powers:

(-2)^a / 4^b

In the given expression:

[tex]4^5(-2)^9/4^8(-2)^3[/tex]

We know if we have the same base then the powers are subtracting if the bases are in numerator and denominator

i.e [tex]a^m/a^n = a^{m-n}[/tex]

Solving:

[tex]=(-2)^{9-3}/4^{-5+8}\\=(-2)^6/4^3[/tex]

So, the value of a = 6

and the value of b = 3

2. Evaluate Powers

c/d

We have

[tex](-2)^6/4^3[/tex]

Solving:

When power is even negative sign changes into plus sign

64/64

So value of c = 64

and value of d= 64

Answer:

a=6

b=3

c=64

d=64

Step-by-step explanation:

Answer:

  6

Step-by-step explanation:

The denominator cannot be zero, so x cannot be 6.

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

Hope this helps!

Answer:

Options B, C, and D.

Step-by-step explanation:

We have to simplify the given expression given (5x + 3y + (-x) + 6z).

We will use the process as given below.

1) We will identify the like terms, we have to add or subtract.

2) Like terms are those, which have the same variable of the same degree.

3) We get the simplified expression by combining the same terms.

5x + 3y + (-x) + 6z = 4x + 3y + 6z

Therefore, Options B, C and D will be the correct options.

Answer:

A

Step-by-step explanation:

The formula that relates current, power and resistance is

[tex]I=\sqrt{\frac{P}{R}}[/tex]

Where

I is the current (in amperes)

P is the power (in watts)

R is the resistance (in ohms)

We know P = 500 and R = 25, we plug them into the formula and solve for I:

[tex]I=\sqrt{\frac{P}{R}}\\I=\sqrt{\frac{500}{25}}\\I=\sqrt{20}\\ I=4.47[/tex]

Correct answer is 4.47 Amperes, or choice A.

Answer:

(3x² - 2)(x² + 5)

Step-by-step explanation:

Given

3[tex]x^{4}[/tex] - 2x² + 15x² - 10

Factor the first/second and third/fourth terms

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

Answer:

[tex](x^2+5)(3x^2-2)[/tex]

Step-by-step explanation:

The polynomial is

[tex]3x^4-2x^2+15x^2-10[/tex]

You can group the first and third term and the second and last term

[tex]3x^4+15x^2-2x^2-10[/tex]

Factorize each pair

[tex]3x^4+15x^2-2x^2-10[/tex]

[tex]3x^2(x^2+5)-2(x^2+5)[/tex]

Finally, you can factor the [tex](x^2+5)[/tex] and obtain

[tex](x^2+5)(3x^2-2)[/tex]

Then, the answer is (x2 + 5)(3x2 – 2)

Answer:

y = [tex]\frac{3}{2}[/tex] x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{3}{2}[/tex], hence

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 4, - 2) into the partial equation

- 2 = - 6 + c ⇒ c = - 2 + 6 = 4

y = [tex]\frac{3}{2}[/tex] x + 4

Answer:

B.3

Step-by-step explanation:

If you divide 36 by 12 or 27 by 9 or 21 by 7, you get 3, which means that triangle ABC is 3 times as large as triangle XYZ.

For this case it is observed that the measures of the small triangle are smaller than those of the large triangle, so we have to use a division scale factor. We have to:

[tex]xy = \frac {AB} {3} = \frac {27} {3} = 9\\yz = \frac {BC} {3} = \frac {36} {3} = 12\\xz = \frac {AC} {3} = \frac {21} {3} = 7[/tex]

It is observed that the factor used was [tex]\frac {1} {3}.[/tex]

ANswer:

Option D

Answer:

4 m so, A.

Step-by-step explanation:

Area = side x altitude then,

Your altitude = area/side

which =40/12.5= 4 m  

Hope my answer has helped you!

Answer: A. 4 m

Step-by-step explanation:

We know that a rhombus is a kind of parallelogram.

Area of parallelogram = (Altitude ) x ( Base)

Thus , Area of rhombus = (Altitude ) x ( Base)

As per given , Base =  2.5 meters

Area of rhombus = 10 square meters

Substitute all values in formula , we get

[tex]10=(\text{Altitude})\times2.5\\\\\Rightarrow\ \text{Altitude}=\dfrac{10}{2.5}=4[/tex]

Hence, the altitude of a rhombus is 4 m.

Thus , the correct answer is A. 4 m ,

Answer:

difference

Step-by-step explanation:

When you're subtracting two (or more) numbers, you're looking to see how far apart they are.  You're looking for their difference.

The result of a subtraction is the difference between the numbers involved in the operation.

When you're adding two numbers up, you're creating a sum.

When you're multiplying two numbers together, you have a product.

When you're dividing two numbers, you have a quotient.

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x.  We know that the degree measure around the outside of a circle, regardless of its size, is 360.  So let's say that arc BC is x.  That means that arc BDC is 360 - x.  This is because arc BC + arc BDC = 360.  Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360.  (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

[tex]22=\frac{1}{2}(360-x-x)[/tex] and

[tex]22=\frac{1}{2}(360-2x)[/tex]

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

Subtract 360 rom both sides to get

-316 = -2x

Divide both sides by -2 to get that x = 158

Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.

Answer:

x=15

Step-by-step explanation:

We know that a right angle is 90 degrees. When we subtract the 30 from 90, we get 60 degrees as the other, smaller angle. Then, we divide 60 by 4 to get 15. This mean x equals 15.

Answer:

  (2, 4π/15), (2, 14π/15), (2, 24π/15)

Step-by-step explanation:

DeMoivre's theorem tells you the n-th root of a complex number in polar form is ...

  (magnitude, angle)^(1/n) = (magnitude^(1/n), (angle +2kπ)/n) for k = 0 to n-1.

__

Your number has a magnitude of 8, so the cube root of that is 2.

Your number has an angle of (4π/5+2kπ), so one third of that is ...

  (π/3)(4/5 +2k) . . . for k = 0, 1, 2

Then the cube roots are (magnitude, angle) ...

  {(2, 4π/15), (2, 14π/15), (2, 24π/15)}

Of course, you can write (magnitude, angle) in CIS form as ...

  magnitude(cos(angle) +i·sin(angle))

as may be required by your grader.

_____

Comment on complex number notation

The notation used in my engineering courses was fairly practical. A complex number could be written as a+bi or as magnitude∠angle. We didn't waste effort writing it as magnitude(cos(angle) +i·sin(angle)) and we avoided the confusion associated with different interpretations of an ordered pair.

Answer:

  -2p² -11p -35

Step-by-step explanation:

-2(p +4)² -3 +5p = -2(p² +8p +16) -3 +5p

  = -2p² -16p -32 -3 +5p

  = -2p² -11p -35

Answer:

–2p2 – 11p – 35

Step-by-step explanation:

Answer:

  (b)  line symmetry only

Step-by-step explanation:

This question asks you to identify any applicable form of symmetry the given figure may have.

For plane figures, three kinds of symmetry are defined:

A figure is symmetrical about a point if that point is a midpoint between every point on the figure and a corresponding point on the figure.

A figure is symmetrical about a line if that line is the perpendicular bisector of the segment between any point on the figure and a corresponding point on the figure.

A figure has rotational symmetry if it can be rotated about a center and be congruent to itself. The number of different rotational angles for which this is true is the degree of the rotational symmetry.

There is no point within the bounds of the figure that matches the definition of the center of symmetry about a point.

A vertical line through the center of the figure will serve as a line of symmetry. Each point on the left side of the line corresponds to a point on the right side of the line at the same distance. So, the figure has symmetry about a line.

There is no angle other than 360° through which the figure can be rotated to map to itself. It has no rotational symmetry.

[tex]\int_{0}^{2}sin(x^{2})dx \approx 1units^2[/tex]

First of all, the graph of the function [tex]f(x)=sin(x^2)[/tex] is shown in the first figure below. We need to calculate the area under the curve which is in fact the definite integral. From calculus, we know that [tex]f(x)=sin(x^2)[/tex] is non integrable, that is, it doesn't have a primitive,  so we must use calculator to evaluate [tex]\int_{0}^{2}sin(x^{2})dx[/tex]. To do so, calculator uses the Taylor Series, so:

[tex]sin(x^{2})=\sum_{n=-\infty}^{+\infty}\frac{(-1)^{n}}{(2n+1)!}x^{4n+2}$[/tex]

You an use a calculator or any program online, and the result will be:

[tex]\int_{0}^{2}sin(x^{2})dx=0.804units^2[/tex]

Since the problem asks for rounding the result to the nearest integer, then we have:

[tex]\boxed{\int_{0}^{2}sin(x^{2})dx \approx 1units^2}[/tex]

The area is the one in yellow in the second figure.

The value of the integral is approximately 0.8380, rounded to the nearest integer, is 1.

Evaluating the given integral involves using numerical methods since the antiderivative of sin(x²) doesn't have a simple closed-form expression in terms of elementary functions. One common numerical method is to use numerical integration techniques like Simpson's rule or the trapezoidal rule.

Let's approximate the integral using Simpson's rule with n=4 subintervals.

The interval of integration is [0, 2].

The width of each sub-interval is (2 - 0)/n = (2 - 0) / 4 = 0.5

The endpoints of the sub-intervals are:

x₀ = 0,

x₁ = 0 + 0.5 = 0.5,

x₂ = 0 + 2(0.5) = 1.0

x₃ = 0 + 3(0.5) = 1.5

x₄ = 0 + 4(0.5) = 2.0

Evaluate the function at these points:

f(x₀) = sin(0²) = 0

f(x₁) = sin(0.5²) = 0.2474

f(x₁) = sin(1²) = 0.8415

f(x₃) = sin(1.5²) = 0.7781

f(x₄) = sin(2²) = -0.7568

Apply Simpson's rule:

[tex]\int_{0}^{2} \sin(x^2) \, dx \approx \frac{h}{3} \left( f(x_0) + 4 \sum_{i \text{ odd}} f(x_i) + 2 \sum_{i \text{ even, } i \neq 0, n} f(x_i) + f(x_n) \right)\\ = \frac{0.5}{3} \left( f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + f(x_4) \right)\\ = \frac{0.5}{3} \left( 0 + 4(0.2474) + 2(0.8415) + 4(0.7781) + (-0.7568) \right) \\ = \frac{0.5}{3} \left( 0 + 0.9896 + 1.6830 + 3.1124 - 0.7568 \right) \\ = \frac{0.5}{3} \left( 5.0282 \right)\\ =0.8380[/tex]

Thus, the value of the given integral is approximately 0.8380.

Round the result to the nearest integer, which is 1.

Complete question:

Use your calculator to evaluate [tex]\int_{0}^{2} \sin(x^2) dx[/tex]. Give your answer to the nearest integer.

Option: B is the correct answer.

                    B. 36,623 feet

The angle of elevation is: 55 degree

We model this problem by taking a right angled triangle such that the side opposite to the 55 degree is of length 30000 feet.

Now let us consider x denote the distance of the plane from Francesa.

i.e. x denote the hypotenuse of the right angled triangle.

Hence, in right angled triangle i.e. ΔABC we have:

[tex]\sin 55=\dfrac{30000}{x}\\\\i.e.\\\\x=\dfrac{30000}{\sin 55}\\\\i.e.\\\\x=\dfrac{30000}{0.81915}\\\\\\i.e.\\\\\\x=36623.2376\ feet[/tex]

Round to the nearest feet we get: x=36,623 feet

Answer:

B is the correct answer Hope it helps!

Hello There!

The answer would be "C"

For every 10 pieces of candy Simone buys, she pays $1.

By looking at the the graph, you can see that is is moving up at a constant rate each time so each time Simone buys 10 more pieces of candy, the price increases.

Answer:

C

Step-by-step explanation:

Simply match up the values for each choice and see which one fits the graph

A) for every hour, the graph shows an increae in $10 not $20 (Not valid)

B) For every 10 swimmers, the graph shows an increase in 1 lifeguard not 2 (not valid)

C) for 10 pieces of candy, there is an increase in $1 (VALID!!)

D) for every 2 km, the graph shows and increase in 20 min, not 30 min (not valid)

Hence only C fits the graph

Answer:

y=mx+b

x=5

Step-by-step explanation:

[tex]x=5[/tex]

This is the equation for the line, because both points match this equation.  It is a vertical line, since the [tex]x[/tex] is the same for both of them, and it is equal to [tex]5[/tex] both times.

You can then double check your answer by graphing.  If you graph [tex]x=5[/tex], then both points, you can see that they both fall on the line, as shown in the attached graph.